Question

The length of a rectangle is $\frac{6}{5}$th of its breadth. If its perimeter is $132$ m, its area will be ...............

• A. $1080$ $m^2$
• B. $640$ $m^2$
• C. $1620$ $m^2$
• D. $2160$ $m^2$

Answer 1

Answer: (A)

$1080$ $m^2$

$l=\frac{6}{5}b$
Perimeter = $132$
$2\left(\frac{6}{5}b+b\right)=132$
$\frac{11b}{5}=\frac{132}{2}$
$b=30m$.
$l=\frac{6}{5}\times 30=36m$
Area = $l\times b=36\times 30=1080$$m^2$.